带线性记忆的阻尼耦合吊桥方程的全局吸引子

摘要 本文研究了带线性记忆的阻尼耦合吊桥方程的长时间动力学行为，应用能量估计及收缩函数的方法，获得了弱拓扑空间中全局吸引子的存在性.
Abstract：In this paper, we investigate the long-time dynamical behavior of coupled suspension bridge equations with linear memory. We obtain the existence of the global attractors in the weak Hilbert space by using methods of energy estimates and contractive function.